Problems
Smooth Divisors
Smooth Divisors
The positive integer m is called a smooth divisor of n if the quotient and remainder of dividing n by m are equal. The positive integer n is given. Find the number of its smooth divisors.
Input data
The positive integer n\:(1 \le n \le 10^6).
Output data
Print the required number of smooth divisors for number n.
Examples
Input example #1
20
Output example #1
2